I believe a platform will work without support, depending on how big it is. I would make sure to offer it support, however.
Let's say you want the platform to start 5" off the bottom of the tank. I would run a lay of 2" foam up the wals for 5" and then set your platform on top of that. I would also put it in a corner so it's supported by both the sides and the back. Use polyurethane glue or foam panel adhesive and skewer the platform into the back and side. Then sandwhich more wall material over that.
I would also cut some scrap piece to act as corbels underneath the platform. Corbels are the support structures you see holding up counterop overhangs, etc. They look like this:

They should also be attached with adhesive and skewers. And obviously carve them in a way that they blend in.
If you want to add another layer of support then you can put down a layer of the larger weave fiberglass cloth made for synthetic stucco. It is primarily available in 12" wide rolls but I think I have seen 12x12 sections sold for stucco repair as well. Assuming you don't need an entire roll I would look for smaller sections like that.
-----
Currently keeping:
6.10 Gonyosoma oxycephalum (Javan, mixed colors)
1.1 Philodryas baroni
1.1 Lampropeltis triangulum multistriata
1.0 Rhodesian Ridgeback